mathematical analysis of hiv viral infection model with logistic growth rate and cell-to-cell and cell-free transmissions

It is well known that dynamical systems are very useful tools to study the viral disease such as hiv, hbv, hcv, ebola and in uenza. this paper deals with a mathematical model of the cell- to-cell and the cell-free spread of hiv with both linear and nonlinear functional responses and logistic target cell growth. the reproduction number of each mode of transmission has been calculated and their sum has been considered as the basic reproduction number. based on the values of the reproduction number, the local and global stability of the rest points have been investigated.